Abstract

An expression for the amplitude of the intermodulation products and harmonics produced in a crystal mixer is derived using the coefficients of the power series expansion of the device. Using this expression and an exponential approximation of the current through a diode [i = i 0 (eαv- 1)], the amplitude of intermodulation produced in a crystal mixer is found to be 2i 0 eαV0R 0 I s (αV 1 )I b (αV 2 ). I n (x) is an nth order modified Bessel function of the first kind. The quantities s and b are the signal harmonic and the oscillator harmonic, R 0 is the output resistance, and V 0 , V 1 , and V 2 are the bias, signal, and oscillator voltages, respectively. The quantities i 0 , α, R 0 , and V 2 are found from the dc E-I diode characteristics, the mixer bias current, and the loss in the desired signal. Experimental tests on a mixer operating from 450 Mc to 850 Mc show that the signal input power necessary to produce a given intermodulation output power can be predicted within 6 db.

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